Abstract
In this paper we analyse a multi-resource queueing system with renewal arrival process and arbitrary service time distribution. In more detail, we apply the dynamic screening method to obtain the asymptotic expression for the stationary probability distribution describing the process of the total volume of the occupied resource in the system. Finally we verify the goodness of the obtained Gaussian approximation by means of discrete event simulation.
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Galileyskaya, A., Lisovskaya, E., Pagano, M. (2019). On the Total Amount of the Occupied Resources in the Multi-resource QS with Renewal Arrival Process. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2019. Communications in Computer and Information Science, vol 1109. Springer, Cham. https://doi.org/10.1007/978-3-030-33388-1_21
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DOI: https://doi.org/10.1007/978-3-030-33388-1_21
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